\[ {}x^{2} y^{\prime \prime }+3 x y^{\prime }+2 y = 0 \]

\[ {}x^{2} y^{\prime \prime }+5 x y^{\prime }+4 y = 0 \]

\[ {}2 t^{2} y^{\prime \prime }-3 t y^{\prime }-3 y = 0 \]

\[ {}3 t^{2} y^{\prime \prime }-5 t y^{\prime }-3 y = 0 \]

\[ {}t^{2} y^{\prime \prime }+7 t y^{\prime }-7 y = 0 \]

\[ {}t^{2} y^{\prime \prime }+t y^{\prime }-y = 0 \]

\[ {}t^{2} y^{\prime \prime }+4 t y^{\prime }-4 y = 0 \]

\[ {}t^{2} y^{\prime \prime }+6 t y^{\prime }+6 y = 0 \]

\[ {}t^{2} y^{\prime \prime }+t y^{\prime }+\left (t^{2}-\frac {1}{4}\right ) y = 0 \]

\[ {}t^{2} y^{\prime \prime }+3 t y^{\prime }+y = 0 \]

\[ {}t^{2} y^{\prime \prime }+a t y^{\prime }+b y = 0 \]

\[ {}4 t^{2} y^{\prime \prime }+4 t y^{\prime }+\left (36 t^{2}-1\right ) y = 0 \]

\[ {}t y^{\prime \prime }+2 y^{\prime }+16 t y = 0 \]

\[ {}y^{\prime \prime }+b \left (t \right ) y^{\prime }+c \left (t \right ) y = 0 \]

\[ {}y^{\prime \prime }+b \left (t \right ) y^{\prime }+c \left (t \right ) y = 0 \]

\[ {}3 t^{2} y^{\prime \prime }-2 t y^{\prime }+2 y = 0 \]

\[ {}t^{2} y^{\prime \prime }-t y^{\prime }+y = 0 \]

\[ {}t^{2} y^{\prime \prime }-4 t y^{\prime }+\left (t^{2}+6\right ) y = 0 \]

\[ {}t y^{\prime \prime }+2 y^{\prime }+t y = 0 \]

\[ {}4 t^{2} y^{\prime \prime }+4 t y^{\prime }+\left (16 t^{2}-1\right ) y = 0 \]

\[ {}4 x^{2} y^{\prime \prime }-8 x y^{\prime }+5 y = 0 \]

\[ {}3 x^{2} y^{\prime \prime }-4 x y^{\prime }+2 y = 0 \]

\[ {}2 x^{2} y^{\prime \prime }-8 x y^{\prime }+8 y = 0 \]

\[ {}2 x^{2} y^{\prime \prime }-7 x y^{\prime }+7 y = 0 \]

\[ {}4 x^{2} y^{\prime \prime }+17 y = 0 \]

\[ {}9 x^{2} y^{\prime \prime }-9 x y^{\prime }+10 y = 0 \]

\[ {}2 x^{2} y^{\prime \prime }-2 x y^{\prime }+20 y = 0 \]

\[ {}x^{2} y^{\prime \prime }-5 x y^{\prime }+10 y = 0 \]

\[ {}4 x^{2} y^{\prime \prime }+8 x y^{\prime }+y = 0 \]

\[ {}4 x^{2} y^{\prime \prime }+y = 0 \]

\[ {}x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y = 0 \]

\[ {}x^{2} y^{\prime \prime }+7 x y^{\prime }+9 y = 0 \]

\[ {}3 x^{2} y^{\prime \prime }-4 x y^{\prime }+2 y = 0 \]

\[ {}2 x^{2} y^{\prime \prime }-7 x y^{\prime }+7 y = 0 \]

\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+4 y = 0 \]

\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+2 y = 0 \]

\[ {}x^{2} y^{\prime \prime }-x y^{\prime }+2 y = 0 \]

\[ {}x^{2} y^{\prime \prime }+4 x y^{\prime }+2 y = 0 \]

\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+y = 0 \]

\[ {}\left (x^{2}+1\right )^{2} y^{\prime \prime }+2 x \left (x^{2}+1\right ) y^{\prime }+4 y = 0 \]

\[ {}\left (x^{2}+1\right )^{2} y^{\prime \prime }+2 x \left (x^{2}+1\right ) y^{\prime }+4 y = 0 \]

\[ {}\left (x^{4}-1\right ) y^{\prime \prime }+\left (x^{3}-x \right ) y^{\prime }+\left (x^{2}-1\right ) y = 0 \]

\[ {}\left (x^{4}-1\right ) y^{\prime \prime }+\left (x^{3}-x \right ) y^{\prime }+\left (4 x^{2}-4\right ) y = 0 \]

\[ {}\left (x^{4}-1\right ) y^{\prime \prime }+\left (x^{3}-x \right ) y^{\prime }+\left (x^{2}-1\right ) y = 0 \]

\[ {}x^{2} y^{\prime \prime }+4 x y^{\prime }+2 y = 0 \]

\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+4 y = 0 \]

\[ {}x^{2} y^{\prime \prime }-x y^{\prime }+y = 0 \]

\[ {}6 x^{2} y^{\prime \prime }+5 x y^{\prime }-y = 0 \]

\[ {}\left (t +1\right )^{2} y^{\prime \prime }-2 \left (t +1\right ) y^{\prime }+2 y = 0 \]

\[ {}t y^{\prime \prime }+2 y^{\prime }+t y = 0 \]

\[ {}y^{\prime \prime }-2 t y^{\prime }+t^{2} y = 0 \]

\[ {}t^{2} y^{\prime \prime }-5 t y^{\prime }+5 y = 0 \]

\[ {}x^{2} y^{\prime \prime }+7 x y^{\prime }+8 y = 0 \]

\[ {}x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0 \]

\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+y = 0 \]

\[ {}2 x^{2} y^{\prime \prime }+5 x y^{\prime }+y = 0 \]

\[ {}5 x^{2} y^{\prime \prime }-x y^{\prime }+2 y = 0 \]

\[ {}x^{2} y^{\prime \prime }-7 x y^{\prime }+25 y = 0 \]

\[ {}x y^{\prime \prime } = y^{\prime } \]

\[ {}x y^{\prime \prime }+y^{\prime } = 0 \]

\[ {}x y^{\prime \prime } = \left (2 x^{2}+1\right ) y^{\prime } \]

\[ {}x \ln \left (x \right ) y^{\prime \prime } = y^{\prime } \]

\[ {}x^{2} y^{\prime \prime }+x y^{\prime }-y = 0 \]

\[ {}x^{2} y^{\prime \prime }+3 x y^{\prime }+y = 0 \]

\[ {}x^{2} y^{\prime \prime }+2 x y^{\prime }+6 y = 0 \]

\[ {}x y^{\prime \prime }+y^{\prime } = 0 \]

\[ {}\left (2+x \right )^{2} y^{\prime \prime }+3 \left (2+x \right ) y^{\prime }-3 y = 0 \]

\[ {}\left (2 x +1\right )^{2} y^{\prime \prime }-2 \left (2 x +1\right ) y^{\prime }+4 y = 0 \]

\[ {}\left (2 x +1\right ) y^{\prime \prime }+\left (-2+4 x \right ) y^{\prime }-8 y = 0 \]

\[ {}\left (x^{2}-x \right ) y^{\prime \prime }+\left (2 x -3\right ) y^{\prime }-2 y = 0 \]

\[ {}x^{2} \left (-1+\ln \left (x \right )\right ) y^{\prime \prime }-x y^{\prime }+y = 0 \]

\[ {}y^{\prime \prime }+\left (\tan \left (x \right )-2 \cot \left (x \right )\right ) y^{\prime }+2 \cot \left (x \right )^{2} y = 0 \]

\[ {}y^{\prime \prime }+\tan \left (x \right ) y^{\prime }+\cos \left (x \right )^{2} y = 0 \]

\[ {}x y^{\prime \prime }+y^{\prime } = 0 \]

\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+\left (4 x^{2}-\frac {1}{9}\right ) y = 0 \]

\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0 \]

\[ {}y^{\prime \prime }+\frac {y^{\prime }}{x}+\frac {y}{9} = 0 \]

\[ {}y^{\prime \prime }+\frac {y^{\prime }}{x}+4 y = 0 \]

\[ {}x^{2} y^{\prime \prime }-2 x y^{\prime }+4 \left (x^{4}-1\right ) y = 0 \]

\[ {}x y^{\prime \prime }+\frac {y^{\prime }}{2}+\frac {y}{4} = 0 \]

\[ {}y^{\prime \prime }+\frac {5 y^{\prime }}{x}+y = 0 \]

\[ {}y^{\prime \prime }+\frac {3 y^{\prime }}{x}+4 y = 0 \]